Question: Please take me step by step through this answer and how we arrived at the answer: 1: Bluefish purchased at the Lime Beach Fishing Terminal

Please take me step by step through this answer and how we arrived at the answer:

1: Bluefish purchased at the Lime Beach Fishing Terminal produce a filet weight whichhas a mean of 4.5 pounds with a standard deviation of 0.8 pound. If you purchase fivesuch fish, then what is the probability that you will have at least 21 pounds of filets? SOLUTION: We assume that the population distribution is close to normal. This isnecessary because otherwise 5 is a very small sample size. The total weight is at least 21pounds if the average weight is at least 4.2 pounds, and P[X4.2] =P[Z ((4.24.50) /.8)5] =P[Z.84] =.5 +2995 =.7995.8

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